Zeta function regularization of the photon polarization tensor for a magnetized vacuum
文献类型：期刊论文
| 作者 | Chao JY(巢静宜); Yu L(余浪); 黄梅;Chao, JY; Yu, L; Huang, M |
| 刊名 | PHYSICAL REVIEW D
 |
| 出版日期 | 2014 |
| 卷号 | 90期号:4页码:45033 |
| 英文摘要 | In this paper, we develop a systematic technique to regularize double summations of Landau levels and analytically evaluate the photon vacuum polarization at an external magnetic field. The final results are described by Lerch transcendent Phi(z, s, v) or its z derivation. We find that the tensor of vacuum polarization is split into not only longitudinal and transverse parts but also another mixture component. The results remain gauge covariant as required by the Ward identity. We obtain a complete expression of the magnetized photon vacuum polarization at any kinematic regime and any strength of magnetic field for the first time. In the weak B fields, after canceling out a logarithmic counterterm, all three scalar functions are limited to the usual photon polarization tensor without turning on a magnetic field. In the strong B fields, the calculations under the lowest Landau level approximation are only valid at the region M-2 >> q(parallel to)(2), but not correct when q(parallel to)(2) >> M-2, where an imaginary part has been missed. It reminds us that a recalculation of the gap equation under a full consideration of all Landau levels will be necessary in the near future. |
| 学科主题 | Astronomy & Astrophysics; Physics |
| 收录类别 | SCI |
| WOS记录号 | WOS:000341268400015 |
| 公开日期 | 2016-05-03 |
| 源URL | [http://ir.ihep.ac.cn/handle/311005/225284]  |
| 专题 | 中国科学院高能物理研究所 |
| 推荐引用方式 GB/T 7714 | Chao JY,Yu L,黄梅；Chao, JY,et al. Zeta function regularization of the photon polarization tensor for a magnetized vacuum[J]. PHYSICAL REVIEW D,2014,90(4):45033. |
| APA | 巢静宜,余浪,黄梅；Chao, JY,Yu, L,&Huang, M.(2014).Zeta function regularization of the photon polarization tensor for a magnetized vacuum.PHYSICAL REVIEW D,90(4),45033. |
| MLA | 巢静宜,et al."Zeta function regularization of the photon polarization tensor for a magnetized vacuum".PHYSICAL REVIEW D 90.4(2014):45033. |
入库方式： OAI收割
来源：高能物理研究所
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